论文标题
从原子系统到具有空隙的弹性材料的线性化连续模型
From atomistic systems to linearized continuum models for elastic materials with voids
论文作者
论文摘要
我们研究了一个原子模型，该模型描述了在离散水平的额外曲率正则化下弹性压力固体内部材料空隙的微观形成。使用离散到核分析，通过最近的几何刚度导致可变域[27]和γ-连接工具，我们严格地为具有三维弹性的物质空隙的弹性压力固体提供了有效的线性化连续模型。
We study an atomistic model that describes the microscopic formation of material voids inside elastically stressed solids under an additional curvature regularization at the discrete level. Using a discrete-to-continuum analysis, by means of a recent geometric rigidity result in variable domains [27] and Γ-convergence tools, we rigorously derive effective linearized continuum models for elastically stressed solids with material voids in three-dimensional elasticity.
